Bryan and Gabriel started jogging from the same point. Gabriel started jogging 3 minutes earlier than Bryan. Bryan's jogging speed was 400 m/min and Gabriel's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Bryan to catch up with Gabriel?
- What distance would Gabriel have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Gabriel |
Speed |
400 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Gabriel covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that Bryan covered more than Gabriel per min
= 400 - 200
= 200 m
Time that Bryan needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Gabriel would had jogged when Bryan caught up with him
= 3 + 3
= 6 min
Distance that Gabriel would have jogged when Bryan caught up with him
= 6 x 200
= 1200 m
Answer(s): (a) 3 min; (b) 1200 m